Solve -4x+1/3=-5

$$-4x+ \frac{ 1 }{ 3 } =-5$$

Solve for x

$$x = \frac{4}{3} = 1\frac{1}{3} \approx 1.333333333$$

Steps for Solving Linear Equation

Subtract \frac{1}{3} from both sides.

$$-4x=-5-\frac{1}{3}$$

Convert -5 to fraction -\frac{15}{3}.

$$-4x=-\frac{15}{3}-\frac{1}{3}$$

Since -\frac{15}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.

$$-4x=\frac{-15-1}{3}$$

Subtract 1 from -15 to get -16.

$$-4x=-\frac{16}{3}$$

Divide both sides by -4.

$$x=\frac{-\frac{16}{3}}{-4}$$

Express \frac{-\frac{16}{3}}{-4} as a single fraction.

$$x=\frac{-16}{3\left(-4\right)}$$

Multiply 3 and -4 to get -12.

$$x=\frac{-16}{-12}$$

Reduce the fraction \frac{-16}{-12} to lowest terms by extracting and canceling out -4.

$$x=\frac{4}{3}$$